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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2013; 50(3): 873-883

Printed May 31, 2013

https://doi.org/10.4134/BKMS.2013.50.3.873

Copyright © The Korean Mathematical Society.

On the general quadratic Gauss sums weighted by character sums over a short interval

Tianping Zhang

Shaanxi Normal University

Abstract

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By using the analytic methods, the mean value of the general quadratic Gauss sums weighted by the first power mean of character sums over a short interval is investigated. Several sharp asymptotic formulae are obtained, which show that these sums enjoy good distributive properties. Moreover, interesting connections among them are established.

Keywords: quadratic Gauss sums, character sums, mean value

MSC numbers: 11L05, 11L40

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